Reflecting On Concept Maps Inwards Algebra
Wednesday, October 2, 2019
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As component division of OGAP (Oklahoma Geometry in addition to Algebra Project), I was required to get got my students consummate concept maps at the showtime in addition to halt of the schoolhouse year.
To move honest, the concept maps at the showtime of the schoolhouse twelvemonth were extremely depressing. I demand to dig them dorsum out of my filing cabinet in addition to accept pictures thus you lot tin run into the divergence a twelvemonth makes!
As I went through the concept maps, a few things caught my eye. And, I think they require reflection. Since I weblog nearly everything else, I thought I would weblog my reflections, too.
These accept 10 minutes twice a twelvemonth to do. They assistance me reverberate on my teaching in addition to my students' learning. It's TIME WELL SPENT.
(You get got been forewarned - this is in all probability my longest post service ever!)
Reflections start now!
Songs assistance students remember! I tried several songs to assistance students amongst memorizing the quadratic formula. But, aught beats Pop Goes The Weasel!
And, no affair how difficult I try, I can't acquire my students to call upwardly the proper names for the conic sections. Hyperbole. Eclipse. Oh my...
I think this mightiness move 1 of my favorite concept maps.
Algebra -> Thinking -> Hard Work -> Keep Trying -> Try Again -> SUCCESS
Last year, my Algebra 2 students had a terrible fourth dimension remembering that solution, root, zero, in addition to x-intercept all meant the exact same thing. This year, I was a instructor amongst a mission. I introduced those words inwards Unit 1, in addition to nosotros practiced them ALL twelvemonth long! By the halt of the year, I could enquire "What words hateful the same thing equally x-intercept?" And, the entire shape could rattle them off without breaking a sweat. I saw these demo upwardly inwards multiple concept maps.
My students memorize in addition to larn what I emphasize. This summer, I demand to truly reverberate on what I am emphasizing. This volition comport upon what my students learn.
Next year, our firstly algebra lesson is going to move on how to piece algebra!
This concept map is yesteryear a educatee who struggled. A lot. And, she didn't seek out help. I don't quite know how to assistance students who don't want my help.
The to a greater extent than I teach, the to a greater extent than I larn to allow my personality smooth through all that I do inwards my classroom. This way taking fourth dimension to allow kids run into who I am exterior the classroom. And, I'm learning to accept fourth dimension to run into who kids are exterior my classroom. One of the ways I've done that this twelvemonth is through Good Things Mondays, Wacky Wednesdays, in addition to Funny Fridays. I similar that this educatee recognized this inwards her concept map!
Slope Dude also got a mention. But, that's no surprise. It's nevertheless my most favorite video to demo inwards class!
I endeavor to brand algebra equally fun equally possible. Some days are to a greater extent than fun than others. It feels adept for a educatee to recognize this fact. Of course, I'm certain a lot of students would disagree.
Notes are important!!!! Yes!
I also adopted a novel policy component division way through the year. No work. No grade. If you're going to re-create off your neighbor, at to the lowest degree re-create all of their work. Maybe you'll larn something inwards the process. Nothing drives me crazier than a worksheet on adding in addition to subtracting rational expressions that has alone answers. I started giving students a null on the assignment until they could create the piece of work that went amongst it.
Cruel? Maybe. In their best interest? Yes. Led to students call for for help? YES! And, that's my goal. Students demand to recognize that they demand help, in addition to and then students demand to seek it out.
Algebra II = Confusing Math
My destination adjacent year? Make the class to a greater extent than cohesive. I think it would move less confusing for students if I designed the class inwards such a way that the units gibe together in addition to flowed from 1 to another.
Algebra is sometimes confusing. Yes, aye it is.
Algebra requires thinking. ABSOLUTELY! I get got done my job!
This educatee says that Algebra 2 is hard, boring, non easy, confusing, in addition to something they don't want to do. But, they also acknowledge that at that topographic point is "a lot of thinking" involved. Thinking happens inwards my classroom. Students may non similar it, in addition to that's okay.
Hardest Class Ever. Boring. Complicated. Can't empathise it. Not equally fun. Hard.
Every teacher's favorite question: When are nosotros going to job this?
Teamwork. It's okay sometimes.
This is a start. This is a educatee who hasn't been successful amongst math inwards the past. So, for them to acknowledge that it's okay sometimes is a major saltation forward.
Sometimes. I run into this give-and-take quite a flake on these maps. I accept this to hateful that my shape has challenged students' preconceptions of what math shape volition move like.
"Sometimes fun" way that they may get got never viewed math equally fun before.
"Sometimes irritating" way that they may get got e'er viewed math equally irritating before.
Algebra 2 way learning a lot of words. Yes, vocabulary was 1 of my areas of emphasis this year.
I'm hoping that "zero fun" is meant equally homage to Slope Dude in addition to non a description of my class. :)
Classroom management is a existent combat for me. This year, my management has improved. But, that has meant that my management has been inconsistent. I allow students acquire away amongst thus many things during the firstly semester. And, I toughened upwardly the 2nd semester.
Remember my cell telephone policy? Can't verbalise at all. Can't programme on your phone. Or Ms. Hagan volition accept it away I know. This educatee learned the difficult way!
This educatee reflected on their previous in addition to futurity mathematical plans which I establish quite interesting. They hated Algebra 1. They surprisingly enjoyed Algebra 2. (YAY!) And, they won't move taking Calculus. In a way, this breaks my heart. Should every educatee accept calculus? Definitely not. But, I instruct inwards a district where most students think calculus is something they would never move capable of taking. I'm slow working on changing that. But, it's a much longer journeying than I anticipated.
Some areas of about concept maps weren't quite equally focused on Algebra equally I had anticipated. But, I dearest learning novel things nearly my students.
Algebra II = "Favorite Educational Class" I'll accept that!
"Hateful calculators." This educatee absolutely refused to solve problems amongst a graphing calculator. He was continually call for me how to solve a job without the calculator. When fourth dimension allowed, I gladly explained the process. I applaud his curiosity. I want I had to a greater extent than students amongst a want to larn multiple methods of solving a problem!
"Paper wasted. Glue lost." I'm assuming he was also non a fan of the interactive notebooks.
"Learned a lot o' math." Yes!
"A long journeying completed." "Hours of slumber lost." Some of my students needed to lose a few to a greater extent than hours of slumber thus they could truly consummate their homework...
Slope Dude strikes again! I made my students e'er pronounce "undefined" equally if they were skiing off a cliff. "Undefiiiiiined"!
And, the circle that says "fun" may non move rattling large, but I'm happy to run into it there!
Apparently, Algebra "sukkz."
I'm truly hoping that "EOI'z wur hard" was an intentional misspelling. They also noted that they were oft ineligible inwards my class.
Algebra - the report of "invisible numbers." I'm pretty certain they meant imaginary numbers. Must piece of work to a greater extent than on vocab adjacent year!
Colorful writing. Songs. Notes. Graphing Calculators.
I loathe how many times EOI shows upwardly inwards these concept maps. But, I approximate that's my fault. Our students focus on what nosotros emphasize. From the showtime of the year, I told my students that they had to overstep their EOI. In Oklahoma, students are required to overstep an EOI inwards Algebra 1, English linguistic communication 2, in addition to 2 other subjects inwards companionship to move eligible to have a diploma. Each schoolhouse is graded based on how students perform on these tests.
Can nosotros but delight do away amongst high stakes testing thus I tin acquire dorsum to focusing on math in addition to job solving strategies in addition to higher flat thinking skills instead of examination prep?
Long sectionalization is fourth dimension consuming in addition to surprisingly easy.
EOI -> passed -> happy feelings
Notes = Study Objects
Words cannot limited how much I dearest reading that!
Let's but tell nosotros learned a lot of materials inwards Algebra 2 this year!
This map wasn't equally large equally some, but I adore it. First off, they drew their ain mapping diagram of a function. This educatee made the highest score inwards the schoolhouse on the Algebra 1 test. I approximate I shouldn't move surprised that produced the most educational concept map of the day.
I dearest how this educatee couldn't call upwardly what the E stood for inwards PEMDAS, thus he described it instead. And, functions are all nearly inputs in addition to outputs. I telephone telephone that a win!
Learning. Entertaining. Fun. Irritation. Worksheets. (Okay - non thus proud of those terminal two. I don't want worksheets to move the thing that my students call upwardly nearly my class.) Hexahedron. <- My students were super excited nearly the origami!
Algebra = life. I agree.
People cry. I get got made about students outcry this year. I don't think I made this item educatee cry, though.
Feelings acquire hurt. This makes me sad. My classroom should move a positive, happy place.
And, I loathe that they wrote sitting on their concept maps. I endeavor to acquire students out of their seats equally much equally possible. I demand to do a improve chore of this, though!
Want to know the pregnant of life according to 1 of my students?
People fly. People die. People try. People cry.
This map is depressing. Algebra is useless, a waste product of time, meaningless, in addition to dumb.
Math is "hard work" in addition to a "lot of fun." This 1 makes me experience better. I shouldn't accept these comments thus personally, but I do. As an pedagogy educatee inwards college, I thought I would accomplish 100% of my students. No students would skid through the cracks. That's a fine ideal, but that's non reality. I tin alone assistance students that want to move helped.
Fun Work. Fun Games. Fun Projects. I'm liking the audio of this!
I would't telephone telephone myself the best algebra teacher. But, I try.
Thanks for sticking amongst my reflections this far! Have you lot ever done concept maps amongst your students? I'd dearest to listen nearly it!
To move honest, the concept maps at the showtime of the schoolhouse twelvemonth were extremely depressing. I demand to dig them dorsum out of my filing cabinet in addition to accept pictures thus you lot tin run into the divergence a twelvemonth makes!
As I went through the concept maps, a few things caught my eye. And, I think they require reflection. Since I weblog nearly everything else, I thought I would weblog my reflections, too.
These accept 10 minutes twice a twelvemonth to do. They assistance me reverberate on my teaching in addition to my students' learning. It's TIME WELL SPENT.
(You get got been forewarned - this is in all probability my longest post service ever!)
Reflections start now!
Songs assistance students remember! I tried several songs to assistance students amongst memorizing the quadratic formula. But, aught beats Pop Goes The Weasel!
And, no affair how difficult I try, I can't acquire my students to call upwardly the proper names for the conic sections. Hyperbole. Eclipse. Oh my...
Algebra -> Thinking -> Hard Work -> Keep Trying -> Try Again -> SUCCESS
Last year, my Algebra 2 students had a terrible fourth dimension remembering that solution, root, zero, in addition to x-intercept all meant the exact same thing. This year, I was a instructor amongst a mission. I introduced those words inwards Unit 1, in addition to nosotros practiced them ALL twelvemonth long! By the halt of the year, I could enquire "What words hateful the same thing equally x-intercept?" And, the entire shape could rattle them off without breaking a sweat. I saw these demo upwardly inwards multiple concept maps.
My students memorize in addition to larn what I emphasize. This summer, I demand to truly reverberate on what I am emphasizing. This volition comport upon what my students learn.
Next year, our firstly algebra lesson is going to move on how to piece algebra!
This concept map is yesteryear a educatee who struggled. A lot. And, she didn't seek out help. I don't quite know how to assistance students who don't want my help.
The to a greater extent than I teach, the to a greater extent than I larn to allow my personality smooth through all that I do inwards my classroom. This way taking fourth dimension to allow kids run into who I am exterior the classroom. And, I'm learning to accept fourth dimension to run into who kids are exterior my classroom. One of the ways I've done that this twelvemonth is through Good Things Mondays, Wacky Wednesdays, in addition to Funny Fridays. I similar that this educatee recognized this inwards her concept map!
Slope Dude also got a mention. But, that's no surprise. It's nevertheless my most favorite video to demo inwards class!
I endeavor to brand algebra equally fun equally possible. Some days are to a greater extent than fun than others. It feels adept for a educatee to recognize this fact. Of course, I'm certain a lot of students would disagree.
Notes are important!!!! Yes!
I also adopted a novel policy component division way through the year. No work. No grade. If you're going to re-create off your neighbor, at to the lowest degree re-create all of their work. Maybe you'll larn something inwards the process. Nothing drives me crazier than a worksheet on adding in addition to subtracting rational expressions that has alone answers. I started giving students a null on the assignment until they could create the piece of work that went amongst it.
Cruel? Maybe. In their best interest? Yes. Led to students call for for help? YES! And, that's my goal. Students demand to recognize that they demand help, in addition to and then students demand to seek it out.
Algebra II = Confusing Math
My destination adjacent year? Make the class to a greater extent than cohesive. I think it would move less confusing for students if I designed the class inwards such a way that the units gibe together in addition to flowed from 1 to another.
Algebra is sometimes confusing. Yes, aye it is.
Algebra requires thinking. ABSOLUTELY! I get got done my job!
This educatee says that Algebra 2 is hard, boring, non easy, confusing, in addition to something they don't want to do. But, they also acknowledge that at that topographic point is "a lot of thinking" involved. Thinking happens inwards my classroom. Students may non similar it, in addition to that's okay.
Hardest Class Ever. Boring. Complicated. Can't empathise it. Not equally fun. Hard.
Every teacher's favorite question: When are nosotros going to job this?
Teamwork. It's okay sometimes.
This is a start. This is a educatee who hasn't been successful amongst math inwards the past. So, for them to acknowledge that it's okay sometimes is a major saltation forward.
Sometimes. I run into this give-and-take quite a flake on these maps. I accept this to hateful that my shape has challenged students' preconceptions of what math shape volition move like.
"Sometimes fun" way that they may get got never viewed math equally fun before.
"Sometimes irritating" way that they may get got e'er viewed math equally irritating before.
Algebra 2 way learning a lot of words. Yes, vocabulary was 1 of my areas of emphasis this year.
I'm hoping that "zero fun" is meant equally homage to Slope Dude in addition to non a description of my class. :)
Remember my cell telephone policy? Can't verbalise at all. Can't programme on your phone. Or Ms. Hagan volition accept it away I know. This educatee learned the difficult way!
This educatee reflected on their previous in addition to futurity mathematical plans which I establish quite interesting. They hated Algebra 1. They surprisingly enjoyed Algebra 2. (YAY!) And, they won't move taking Calculus. In a way, this breaks my heart. Should every educatee accept calculus? Definitely not. But, I instruct inwards a district where most students think calculus is something they would never move capable of taking. I'm slow working on changing that. But, it's a much longer journeying than I anticipated.
Some areas of about concept maps weren't quite equally focused on Algebra equally I had anticipated. But, I dearest learning novel things nearly my students.
Algebra II = "Favorite Educational Class" I'll accept that!
"Hateful calculators." This educatee absolutely refused to solve problems amongst a graphing calculator. He was continually call for me how to solve a job without the calculator. When fourth dimension allowed, I gladly explained the process. I applaud his curiosity. I want I had to a greater extent than students amongst a want to larn multiple methods of solving a problem!
"Paper wasted. Glue lost." I'm assuming he was also non a fan of the interactive notebooks.
"Learned a lot o' math." Yes!
"A long journeying completed." "Hours of slumber lost." Some of my students needed to lose a few to a greater extent than hours of slumber thus they could truly consummate their homework...
And, the circle that says "fun" may non move rattling large, but I'm happy to run into it there!
Apparently, Algebra "sukkz."
I'm truly hoping that "EOI'z wur hard" was an intentional misspelling. They also noted that they were oft ineligible inwards my class.
Algebra - the report of "invisible numbers." I'm pretty certain they meant imaginary numbers. Must piece of work to a greater extent than on vocab adjacent year!
I loathe how many times EOI shows upwardly inwards these concept maps. But, I approximate that's my fault. Our students focus on what nosotros emphasize. From the showtime of the year, I told my students that they had to overstep their EOI. In Oklahoma, students are required to overstep an EOI inwards Algebra 1, English linguistic communication 2, in addition to 2 other subjects inwards companionship to move eligible to have a diploma. Each schoolhouse is graded based on how students perform on these tests.
Can nosotros but delight do away amongst high stakes testing thus I tin acquire dorsum to focusing on math in addition to job solving strategies in addition to higher flat thinking skills instead of examination prep?
Long sectionalization is fourth dimension consuming in addition to surprisingly easy.
EOI -> passed -> happy feelings
Notes = Study Objects
Words cannot limited how much I dearest reading that!
Learning. Entertaining. Fun. Irritation. Worksheets. (Okay - non thus proud of those terminal two. I don't want worksheets to move the thing that my students call upwardly nearly my class.) Hexahedron. <- My students were super excited nearly the origami!
Algebra = life. I agree.
People cry. I get got made about students outcry this year. I don't think I made this item educatee cry, though.
Feelings acquire hurt. This makes me sad. My classroom should move a positive, happy place.
And, I loathe that they wrote sitting on their concept maps. I endeavor to acquire students out of their seats equally much equally possible. I demand to do a improve chore of this, though!
Want to know the pregnant of life according to 1 of my students?
People fly. People die. People try. People cry.
Math is "hard work" in addition to a "lot of fun." This 1 makes me experience better. I shouldn't accept these comments thus personally, but I do. As an pedagogy educatee inwards college, I thought I would accomplish 100% of my students. No students would skid through the cracks. That's a fine ideal, but that's non reality. I tin alone assistance students that want to move helped.
I would't telephone telephone myself the best algebra teacher. But, I try.
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